Abstract
The notion of anti-intuitionistic fuzzy soft a-ideals of B C I -algebras is introduced and several related properties are investigated. Furthermore, the operations, namely; AND, extended intersection, restricted intersection, and union on anti-intuitionistic fuzzy soft a-ideals are discussed. Finally, characterizations of anti-intuitionistic fuzzy soft a-ideals of B C I -algebras are given.
Highlights
The theory of fuzzy set, intuitionistic fuzzy sets, soft set, and more other theories were introduced to deal with uncertainty
Soft set theory was initially suggested by Molodstov in [3], Maji et al in [4] combined the soft set theory and the intuitionistic fuzzy set theory, and introduced the notion intuitionistic fuzzy soft sets
We introduce the notion of anti-intuitionistic fuzzy soft a-ideals in BCI-algebras
Summary
The theory of fuzzy set, intuitionistic fuzzy sets, soft set, and more other theories were introduced to deal with uncertainty. Showed that combinatorics is key to understanding the world around us, whilst many of the great advances in computing were built on combinatorial foundations These concepts were widely studied over different classes of logical algebras as the essential classes of BCK/BCI-algebras presented by. Muhiuddin et al studied various concepts on fuzzy sets and applied them to BCK/BCI-algebras, and other related notions (see for e.g., [8,9,10,11,12,13,14,15,16,17,18]). We introduce the notion of anti-intuitionistic fuzzy soft a-ideals in BCI-algebras. The results of present paper are organized, as follows: Section 2 summarizes some basic definitions and properties that are needed to develop our main results while, we introduce the notion of anti-intuitionistic fuzzy soft a-ideals of BCI-algebras and investigate related properties.
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